Massive gravity with non-minimal coupling

Abstract

We propose new massive gravity theories with 5 dynamical degrees of freedom. We evade uniqueness theorems regarding the form of the kinetic and potential terms by adopting the "generalized massive gravity" framework, where a global translation invariance is broken. By exploiting the rotation symmetry in the field space, we determine two novel classes of theories. The first one is an extension of generalized massive gravity with a non-minimal coupling. On the other hand, the second theory produces a mass term that is different from de Rham, Gabadadze, Tolley construction and trivially has 5 degrees of freedom. Both theories allows for stable cosmological solutions without infinite strong coupling, which are free of ghost and gradient instabilities.

arXiv commentv2 : accepted for publication in PRD

References in corpus (32)

• Resummation of Massive Gravity
• Generalized G-inflation: Inflation with the most general second-order field equations
• Generalization of the Fierz-Pauli Action
• Bimetric Gravity from Ghost-free Massive Gravity
• Effective Field Theory for Massive Gravitons and Gravity in Theory Space
• Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
• Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
• Ghost-free Massive Gravity with a General Reference Metric
• Extended Scalar-Tensor Theories of Gravity
• Massive Cosmologies
• Ghosts in Massive Gravity
• Ghost free Massive Gravity in the Stückelberg language
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Open FRW universes and self-acceleration from nonlinear massive gravity
• Cosmological perturbations of self-accelerating universe in nonlinear massive gravity
• Proof of Consistency of Nonlinear Massive Gravity in the Stuckelberg Formulation
• Quasi-Dilaton: Theory and Cosmology
• Mass-Varying Massive Gravity
• xPand: An algorithm for perturbing homogeneous cosmologies
• Ghost-Free Derivative Interactions for a Massive Graviton
• New Kinetic Interactions for Massive Gravity?
• Generalized Galileon Duality
• Comments About Hamiltonian Formulation of Non-Linear Massive Gravity with Stuckelberg Fields
• Covariant Approach to the No-ghost Theorem in Massive Gravity
• Derivative interactions in de Rham-Gabadadze-Tolley massive gravity
• Remark About Hamiltonian Formulation of Non-Linear Massive Gravity in Stuckelberg Formalism
• SO(3) massive gravity
• Stable Cosmology in Generalised Massive Gravity
• Derivative interactions for a spin-2 field at cubic order
• Note About Hamiltonian Formalism for General Non-Linear Massive Gravity Action in Stuckelberg Formalism
• Massive Graviton on a Spatial Condensate
• Generalising the matter coupling in massive gravity: a search for new interactions

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• Cosmic Acceleration and Growth of Structure in Massive Gravity
• Cosmology in Brans-Dicke-de Rham-Gabadadze-Tolley massive gravity
• Aether-quasi-dilaton massive gravity
• Cosmology of Dirac-Born-Infeld dRGT massive gravity
• Vainshtein Mechanism in Generalised Massive Gravity
• Cosmological Study in Myrzakulov $F(R,T)$ Quasi-dilaton Massive Gravity
• Linear growth of structure in projected massive gravity
• On Lorentz-invariant spin-2 theories
• On Lorentz-invariant bi-spin-2 theories
• Linear growth of structure in massive gravity
• Cosmology of Quasi-Dilaton Massive Gravity with Non-minimal Kinetic Coupling
• Gravitational wave interactions in ${\Lambda }_3$ models of dark energy
• The Cosmological Impact of Brane-Chern-Simons Massive Gravity
• Cosmological aspects of cubic Galileon massive gravity